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Finding the Fourth Proportional to 918.78, 1,378.62 and 507.93

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Solution

The fourth proportional to 918.78, 1,378.62 and 507.93 is: 762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.78 : 1,378.62 = 507.93 : x
  2. Step 2: Convert to fraction form
    918.78/1,378.62 = 507.93/x
  3. Step 3: Cross multiply
    918.78x = 1,378.62 × 507.93
  4. Step 4: Simplify right side
    918.78x = 700,242.46
  5. Step 5: Solve for x
    x = 700,242.46/918.78
  6. Step 6: Final answer
    x = 762.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.